10146034160141 has 16 divisors (see below), whose sum is σ = 11224587856320. Its totient is φ = 9093614440320.

The previous prime is 10146034160123. The next prime is 10146034160149. The reversal of 10146034160141 is 14106143064101.

It is a cyclic number.

It is not a de Polignac number, because 10146034160141 - 2⁶ = 10146034160077 is a prime.

It is a super-3 number, since 3×10146034160141³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10146034160098 and 10146034160107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10146034160149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 594590 + ... + 4543743.

It is an arithmetic number, because the mean of its divisors is an integer number (701536741020).

Almost surely, 2^{10146034160141} is an apocalyptic number.

10146034160141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10146034160141 is a deficient number, since it is larger than the sum of its proper divisors (1078553696179).

10146034160141 is a wasteful number, since it uses less digits than its factorization.

10146034160141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5140876.

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 10146034160141 in words is "ten trillion, one hundred forty-six billion, thirty-four million, one hundred sixty thousand, one hundred forty-one".